论文标题
Bigonlight：用于计算数值相对性光学可观察物的新软件包
BiGONLight: a new package for computing optical observables in Numerical Relativity
论文作者
论文摘要
以最一般的方式对相对论效应的研究需要对宇宙学中的光传播进行统一的处理。通过双向地球算子（BGO）对大地偏差方程的新解释，可以实现这一目标。 BGO形式主义扩展了标准配方，提供了一个统一的框架，以描述由于光和时空曲率之间的相互作用而导致的所有可能的光学现象。在我的论文中，我提出了{\ tt bigonlight}，这是一个应用BGO形式主义来研究数值相对性的光传播的{\ tt Mathematica}软件包。该软件包编码3+1个双尾地理运算符框架作为{\ tt Mathematica}函数的集合。输入是时空度量标准以及观察者的运动学和3+1量形式的源的运动学，可能直接来自数值模拟，也可以由用户作为分析组件提供。然后，这些数据用于以完全通用的方式进行射线追踪和计算BGO，即不依赖对称或特定的坐标选择。包装的主要目的是在任意空间中计算光学可观察物。 BGO形式主义的统一理论框架允许在单个计算中提取多个可观察力的框架，而{\ tt wolfram}语言提供了一个灵活的计算框架，使该软件包具有高度适应性的光，以执行光传播的数值和分析研究。
The investigation of relativistic effects in the most general way requires a unified treatment of light propagation in cosmology. This goal can be achieved with the new interpretation of the geodesic deviation equation in terms of the bilocal geodesic operators (BGO). The BGO formalism extends the standard formulation, providing a unified framework to describe all possible optical phenomena due to the interaction between light and spacetime curvature. In my dissertation, I present {\tt BiGONLight}, a {\tt Mathematica} package that applies the BGO formalism to study light propagation in numerical relativity. The package encodes the 3+1 bilocal geodesic operators framework as a collection of {\tt Mathematica} functions. The inputs are the spacetime metric plus the kinematics of the observer and the source in the form of the 3+1 quantities, which may come directly from a numerical simulation or can be provided by the user as analytical components. These data are then used for ray tracing and computing the BGOs in a completely general way, i.e. without relying on symmetries or specific coordinate choices. The primary purpose of the package is the computation of optical observables in arbitrary spacetimes. The uniform theoretical framework of the BGO formalism allows for the extraction of multiple observables within a single computation, while the {\tt Wolfram} language provides a flexible computational framework that makes the package highly adaptable to perform both numerical and analytical studies of light propagation.
